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149119080 = 233511173653
BaseRepresentation
bin10001110001101…
…10000001101000
3101101121000220220
420320312001220
5301133302310
622444050040
73460330335
oct1070660150
9341530826
10149119080
11771a0410
1241b33920
1324b80c56
1415b3998c
15d158670
hex8e36068

149119080 has 128 divisors (see below), whose sum is σ = 491598720. Its totient is φ = 35886080.

The previous prime is 149119063. The next prime is 149119093. The reversal of 149119080 is 80911941.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228034 + ... + 228686.

It is an arithmetic number, because the mean of its divisors is an integer number (3840615).

Almost surely, 2149119080 is an apocalyptic number.

149119080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149119080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245799360).

149119080 is an abundant number, since it is smaller than the sum of its proper divisors (342479640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149119080 is a wasteful number, since it uses less digits than its factorization.

149119080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 149119080 is about 12211.4323484184. The cubic root of 149119080 is about 530.2871115555.

The spelling of 149119080 in words is "one hundred forty-nine million, one hundred nineteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 173 220 264 330 346 440 519 653 660 692 865 1038 1306 1320 1384 1730 1903 1959 2076 2595 2612 3265 3460 3806 3918 4152 5190 5224 5709 6530 6920 7183 7612 7836 9515 9795 10380 11418 13060 14366 15224 15672 19030 19590 20760 21549 22836 26120 28545 28732 35915 38060 39180 43098 45672 57090 57464 71830 76120 78360 86196 107745 112969 114180 143660 172392 215490 225938 228360 287320 338907 430980 451876 564845 677814 861960 903752 1129690 1242659 1355628 1694535 2259380 2485318 2711256 3389070 3727977 4518760 4970636 6213295 6778140 7455954 9941272 12426590 13556280 14911908 18639885 24853180 29823816 37279770 49706360 74559540 149119080